What is the area of the kite
2 answers:
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In the given triangle the sum of the interior angles of triangle ACB is equal to 180 degrees, therefore, we have the following relationship:
Replacing the values we get:
Solving the operations:
Now we solve for angle BCA by substracting 138 to both sides:
Now, since segments CD and CE are equal, this means that triangle CDE is an isosceles triangle, therefore, its base angles are the same, and we have the following relationship:
Replacing the known values:
Now we solve for angle DEC by subtracting 42 to both sides:
Now we divide both sides by 2:
Now, angles DEC and DEB are supplementary, therefore, their sum adds up to 180, therefore, we have:
Replacing the known angle:
Subtracting 69 to both sides:
Therefore, angle DEB measures 111 degrees.